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Finding the Fourth Proportional to 460.56, 686.36 and 446.68

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Solution

The fourth proportional to 460.56, 686.36 and 446.68 is: 665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.56 : 686.36 = 446.68 : x
  2. Step 2: Convert to fraction form
    460.56/686.36 = 446.68/x
  3. Step 3: Cross multiply
    460.56x = 686.36 × 446.68
  4. Step 4: Simplify right side
    460.56x = 306,583.28
  5. Step 5: Solve for x
    x = 306,583.28/460.56
  6. Step 6: Final answer
    x = 665.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.